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Stels [109]

3 years ago

le" class="latex-formula">

Mathematics

1 answer:

Zina [86]3 years ago

3 0

Answer:

$\large\boxed{19\dfrac{17}{20}}$

Step-by-step explanation:

$\text{First step:}\\\\\text{Find LCD}\ (Least\ Common\ Denominator)\\\\LCD=20\\\\4\cdot5=20\\5\cdot4=20\\\\\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\\\\\dfrac{3}{5}=\dfrac{3\cdot4}{5\cdot4}=\dfrac{12}{20}\\\\9\dfrac{1}{4}+10\dfrac{3}{5}=9\dfrac{5}{20}+10\dfrac{12}{20}=(9+10)+\dfrac{5+12}{20}=19\dfrac{17}{20}$

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Determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8

SpyIntel [72]

Answer:

x = 3 ± $\sqrt{24}$

x = 3 + $\sqrt{24}$ , x = 3 - $\sqrt{24}$

Step-by-step explanation:

given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40

So, we plug in 40 for f(x) in the 1st equation and solve for x. (Aim to got x on its own)

40 = 2 (x - 3)^2 - 8

+ 8 + 8

-----------------------------

48 = 2 (x - 3)^2

/2 /2

-----------------------------

24 = (x - 3)^2

square root both sides

--------------------

$\sqrt{24}$ = x - 3

x = 3 ± $\sqrt{24}$

5 0

2 years ago

Name the other angles that are congruent to <1. There are three solutions to this question. Only write the number of the cong

Goshia [24]

The answer is 4 I believe so

4 0

3 years ago

Read 2 more answers

What is the value of the expression 5/7 divided by 8/9

kirill115 [55]

45/56
5/7 divided 8/9
5/7 times 9/8
45/56

7 0

3 years ago

Stuart's bank account had a balance of - $54.19 last month. This month he won a cash prize of $70.82 for winning a competition.

Alenkinab [10]

If Stuart starts with -$54.19 then gains $70.82, you have to add the gained amount to the origin amount. Since the origin amount is negative, you can also subtract the origin amount from the gained amount to find the amount left at the end of the month.

Add 70.82 to -54.19

-54.19 + 70.82 = 16.63

Alternative method:

First, subtract 54.19 from 70.82.

70.82 - 54.19 = 16.63

Add 54.19 to -54.19, bringing you to 0.

-54.19 + 54.19 = 0

Now add the remaining 16.63.

0 + 16.63 = 16.63

<h2>Answer:</h2>

Stuart will have $16.63 at the end of this month.

7 0

2 years ago

Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an

mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

$80d+61=701$

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

$80d+61-61=701-61\\\\80d = 640$

Now Dividing both side by 80 we get;

$\frac{80d}{80}=\frac{640}{80}\\\\d=8$

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.

7 0

3 years ago